Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

analyze31.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (63.2% of total)

ival-sub: 3.0ms (19% of total)

ival-div: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.3s (17.4%)

Results

650.0ms	6258×	0	valid
353.0ms	1817×	1	valid
62.0ms	181×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 636.0ms

ival-mult: 187.0ms (29.4% of total)

ival-sub: 172.0ms (27% of total)

ival-div: 116.0ms (18.2% of total)

ival-add: 91.0ms (14.3% of total)

backward-pass: 54.0ms (8.5% of total)

const: 15.0ms (2.4% of total)

Bogosity

preprocess214.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

2018×	`fnmadd-define`
1750×	`fnmadd-define`
1390×	`times-frac`
1344×	`fmsub-define`
1344×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	64	68
2	200	62
3	661	60
4	2435	60
5	7724	60
0	8	11
1	18	11
2	43	10
3	125	10
4	410	10
5	1268	10
6	4055	10
7	5775	10
8	6447	10
9	6497	10
0	6497	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))

Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))

Call 2

Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1))))
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))))
(- 1 (/ (* (- 1 y) x) (+ x 1)))

Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(fma (- 1 x) (/ y (- -1 y)) 1)
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))
(fnmsub (+ 1 x) (/ y (+ 1 y)) -1)
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))
(fnmsub (/ y (- 1 y)) (+ x -1) -1)
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1))))
(fnmsub (+ 1 x) (/ y (- -1 y)) 1)
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))))
(fnmsub (- 1 x) (/ y (- 1 y)) 1)
(- 1 (/ (* (- 1 y) x) (+ x 1)))
(fma (- 1 y) (/ x (- -1 x)) 1)

explain135.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
59	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
33	-	-	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`y`
0	-	-	`(+.f64 y #s(literal 1 binary64))`

Results

52.0ms	398×	0	valid
36.0ms	100×	1	valid
5.0ms	14×	2	valid

Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 24.0ms (56% of total)

ival-div: 5.0ms (11.7% of total)

ival-mult: 5.0ms (11.7% of total)

ival-add: 4.0ms (9.3% of total)

backward-pass: 3.0ms (7% of total)

const: 1.0ms (2.3% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Rules

1750×	`fnmadd-define`
1344×	`fmsub-define`
1314×	`fnmsub-define`
1146×	`fma-define`
1080×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	18	34
2	43	33
3	125	31
4	410	31
5	1268	31
6	4055	31
7	5775	31
8	6447	31
9	6497	31
0	6497	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
1
(/ (* (- 1 x) y) (+ y 1))
(* (- 1 x) y)
(- 1 x)
x
y
(+ y 1)

Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
1
#s(literal 1 binary64)
(/ (* (- 1 x) y) (+ y 1))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))
(* (- 1 x) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
y
(+ y 1)
(+.f64 #s(literal 1 binary64) y)

localize102.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	87.9%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	79.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

31.0ms	199×	0	valid
21.0ms	50×	1	valid
2.0ms	7×	2	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (34.8% of total)

ival-sub: 4.0ms (23.2% of total)

ival-mult: 3.0ms (17.4% of total)

backward-pass: 2.0ms (11.6% of total)

ival-add: 2.0ms (11.6% of total)

const: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- 1 (/ (* (- 1 x) y) (+ y 1)))>
#<alt (/ (* (- 1 x) y) (+ y 1))>
#<alt (* (- 1 x) y)>
#<alt (- 1 x)>
#<alt (+ y 1)>

Outputs
#<alt (- 1 (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))>
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (* y (- x 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(* (- 1 x) y)
1.0ms	x	@	inf	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	x	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms	y	@	0	(- 1 (/ (* (- 1 x) y) (+ y 1)))
0.0ms	y	@	inf	(- 1 (/ (* (- 1 x) y) (+ y 1)))

rewrite254.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4694×	`-lowering-.f32`
4694×	`-lowering-.f64`
3602×	`/-lowering-/.f32`
3602×	`/-lowering-/.f64`
1356×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	58	31
2	540	30
0	8671	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 362

Calls

Call 1

Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(/ (* (- 1 x) y) (+ y 1))
(* (- 1 x) y)
(- 1 x)
(+ y 1)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y))))) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) y)))) (.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (.f64 y (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
(.f64 (/.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y y)) #s(literal -1 binary64))) (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))

simplify229.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3600×	`+-lowering-+.f64`
3600×	`+-lowering-+.f32`
3268×	`--lowering--.f32`
3268×	`--lowering--.f64`
1678×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	803
1	418	707
2	1348	636
3	6177	634
0	8079	634

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))

Outputs
(- 1 (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
x
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(+.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y) (/.f64 (/.f64 x y) (.f64 y y)))))
x
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
(/ y (+ 1 y))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ 1 (* y (- x 1))) x))
(.f64 y (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(.f64 y (+.f64 (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) (-.f64 (/.f64 #s(literal -1 binary64) y) x)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y) (/.f64 (/.f64 x y) (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)))) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y) x))
y
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)

eval84.0ms (1.1%)

Compiler: Compiled 11402 to 1448 computations (87.3% saved)

prune123.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	449	9	458
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	449	10	459

Accuracy

100.0%

Counts

459 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
✓	67.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
▶	45.1%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶	26.2%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
▶	55.4%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
	46.2%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
	46.2%	(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
	48.5%	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
	38.5%	x
▶	44.6%	#s(literal 1 binary64)

Compiler

Compiled 187 to 124 computations (33.7% saved)

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))

Rules

2126×	`+-lowering-+.f64`
2126×	`+-lowering-+.f32`
1672×	`--lowering--.f32`
1672×	`--lowering--.f64`
1480×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	50	86
2	151	84
3	677	81
4	3632	81
5	6269	80
0	8153	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 1 (* y (- 1 x)))
1
(* y (- 1 x))
y
(- 1 x)
x
1
(- 1 (- 1 x))
1
(- 1 x)
x
(- 1 (/ y (+ y 1)))
1
(/ y (+ y 1))
y
(+ y 1)
(- x (* (/ (+ x -1) y) (+ (/ -1 y) 1)))
x
(* (/ (+ x -1) y) (+ (/ -1 y) 1))
(/ (+ x -1) y)
(+ x -1)
-1
y
(+ (/ -1 y) 1)
(/ -1 y)
1

Outputs
(- 1 (* y (- 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(- 1 (- 1 x))
x
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(- 1 (/ y (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
1
#s(literal 1 binary64)
(/ y (+ y 1))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
(- x (* (/ (+ x -1) y) (+ (/ -1 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))))
x
(* (/ (+ x -1) y) (+ (/ -1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
y
(+ (/ -1 y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)

localize193.0ms (2.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	57.8%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	52.4%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) x))

Results

151.0ms	189×	1	valid
16.0ms	67×	0	valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sub: 13.0ms (24.9% of total)

backward-pass: 12.0ms (23% of total)

ival-div: 11.0ms (21% of total)

ival-add: 9.0ms (17.2% of total)

ival-mult: 7.0ms (13.4% of total)

const: 1.0ms (1.9% of total)

series34.0ms (0.5%)

Counts

12 → 204

Calls

Call 1

Inputs
#<alt (- 1 (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (- 1 x)>
#<alt (- 1 (- 1 x))>
#<alt (- 1 (/ y (+ y 1)))>
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (* (/ (+ x -1) y) (+ (/ -1 y) 1))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (+ (/ -1 y) 1)>
#<alt (- x (* (/ (+ x -1) y) (+ (/ -1 y) 1)))>

Outputs
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (* y (- x 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (* x y)>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (/ (* x (- 1 (/ 1 y))) y)>
#<alt (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))>
#<alt (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))>
#<alt (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))>
#<alt (/ (* x (- 1 (/ 1 y))) y)>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (/ (- x 1) (pow y 2)))>
#<alt (/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))>
#<alt (/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))>
#<alt (/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)>
#<alt (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)>
#<alt (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)>
#<alt (/ (- x 1) y)>
#<alt (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))>
#<alt (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))>
#<alt (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ -1 y)>
#<alt (/ (- y 1) y)>
#<alt (/ (- y 1) y)>
#<alt (/ (- y 1) y)>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<alt (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))>
#<alt (/ (- x 1) (pow y 2))>
#<alt (/ (- (* y (- 1 x)) (* -1 (- x 1))) (pow y 2))>
#<alt (/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))>
#<alt (/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))>
#<alt (- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))>

Calls

51 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	(* (/ (+ x -1) y) (+ (/ -1 y) 1))
1.0ms	x	@	0	(* (/ (+ x -1) y) (+ (/ -1 y) 1))
1.0ms	x	@	-inf	(* (/ (+ x -1) y) (+ (/ -1 y) 1))
1.0ms	y	@	inf	(* (/ (+ x -1) y) (+ (/ -1 y) 1))
0.0ms	y	@	-inf	(* (/ (+ x -1) y) (+ (/ -1 y) 1))

rewrite376.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4340×	`/-lowering-/.f32`
4340×	`/-lowering-/.f64`
2572×	`-lowering-.f32`
2572×	`-lowering-.f64`
2010×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	150	68
2	1602	66
0	8679	66

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 524

Calls

Call 1

Inputs
(- 1 (* y (- 1 x)))
(* y (- 1 x))
(- 1 x)
(- 1 (- 1 x))
(- 1 (/ y (+ y 1)))
(/ y (+ y 1))
(+ y 1)
(* (/ (+ x -1) y) (+ (/ -1 y) 1))
(/ (+ x -1) y)
(+ x -1)
(+ (/ -1 y) 1)
(- x (* (/ (+ x -1) y) (+ (/ -1 y) 1)))

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (-.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) y)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) (.f64 y (-.f64 #s(literal 0 binary64) x))) (.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 3 binary64))) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) x) y)) (.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) y)))))
(.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (.f64 x (.f64 x x))) (+.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (-.f64 (.f64 x x) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))) (+.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 x x) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y y))) #s(literal 3 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) (+.f64 (.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y y)))) (+.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 x #s(literal -1 binary64)))))))))

simplify236.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2418×	`--lowering--.f32`
2418×	`--lowering--.f64`
2162×	`+-lowering-+.f64`
2162×	`+-lowering-+.f32`
1936×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1374
1	508	1246
2	1501	1113
3	5913	1087
0	8223	1087

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* -1 (* y (- 1 x)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(- 1 y)
(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
(* x y)
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(* x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* -1 (/ (- 1 (/ 1 y)) y))
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(/ (* x (- 1 (/ 1 y))) y)
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(/ (* x (- 1 (/ 1 y))) y)
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(* -1 (/ (- x 1) (pow y 2)))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(/ (- x 1) y)
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(/ (- x 1) y)
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ -1 y)
(/ (- y 1) y)
(/ (- y 1) y)
(/ (- y 1) y)
1
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(- 1 (/ 1 y))
1
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(/ (- 1 (/ 1 y)) y)
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(/ (- x 1) (pow y 2))
(/ (- (* y (- 1 x)) (* -1 (- x 1))) (pow y 2))
(/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))
(/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+ 1 (* y (- x 1)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+ 1 (* y (- x 1)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- (+ x (/ 1 y)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ x (/ 1 y)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ x (/ 1 y)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* -1 (* y (- 1 x)))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x y)) y)
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* x y)) y)
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* x y)) y)
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* x y)
(*.f64 y x)
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* -1 (/ (- 1 (/ 1 y)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (* x (- 1 (/ 1 y))) y)
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (/ 1 y)) (/ 1 (pow y 2))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (* x (- 1 (/ 1 y))) y)
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y))) (/ 1 (* x (pow y 2))))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (/ (- x 1) (pow y 2)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* x (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(/ (- x 1) (pow y 2))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y y))
(/ (- (* y (- 1 x)) (* -1 (- x 1))) (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)
(/ (- (* y (- (+ 1 (* x y)) x)) (* -1 (- x 1))) (pow y 2))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(-.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))

eval179.0ms (2.4%)

Compiler: Compiled 16307 to 1932 computations (88.2% saved)

prune89.0ms (1.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	787	7	794
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	791	13	804

Accuracy

100.0%

Counts

804 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
	10.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
	9.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	10.6%	(/.f64 #s(literal 1 binary64) y)
▶	46.2%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	67.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
✓	45.1%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	55.4%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
▶	44.3%	(-.f64 #s(literal 1 binary64) y)
	13.1%	(*.f64 y x)
▶	48.5%	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
▶	38.5%	x
✓	44.6%	#s(literal 1 binary64)

Compiler

Compiled 188 to 129 computations (31.4% saved)

simplify171.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))

Rules

2158×	`fnmadd-define`
2016×	`sum3-define`
1816×	`fmsub-define`
1752×	`fnmsub-define`
1710×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	30	78
2	42	78
3	71	78
4	113	78
5	200	78
6	373	78
7	783	78
8	2226	78
9	4766	78
10	5461	78
11	6146	78
12	7155	78
0	8126	78

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1 (/ x (+ 1 (/ 1 y))))
1
(/ x (+ 1 (/ 1 y)))
x
(+ 1 (/ 1 y))
(/ 1 y)
y
x
(- 1 y)
1
y
(- x (/ (+ x -1) y))
x
(/ (+ x -1) y)
(+ x -1)
-1
y
(/ (+ 1 (/ (+ (/ 1 y) -1) y)) y)
(+ 1 (/ (+ (/ 1 y) -1) y))
1
(/ (+ (/ 1 y) -1) y)
(+ (/ 1 y) -1)
(/ 1 y)
y
-1

Outputs
(* 1 (/ x (+ 1 (/ 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
x
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ (+ x -1) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
x
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
y
(/ (+ 1 (/ (+ (/ 1 y) -1) y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(+ 1 (/ (+ (/ 1 y) -1) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(/ (+ (/ 1 y) -1) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(+ (/ 1 y) -1)
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
-1
#s(literal -1 binary64)

localize119.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))

Results

85.0ms

256×

valid

Compiler

Compiled 92 to 17 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.9% of total)

ival-add: 6.0ms (27.5% of total)

ival-sub: 3.0ms (13.8% of total)

ival-mult: 2.0ms (9.2% of total)

const: 1.0ms (4.6% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

12 → 192

Calls

Call 1

Inputs
#<alt (* 1 (/ x (+ 1 (/ 1 y))))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (+ 1 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (- 1 y)>
#<alt (- x (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (/ (+ 1 (/ (+ (/ 1 y) -1) y)) y)>
#<alt (+ 1 (/ (+ (/ 1 y) -1) y))>
#<alt (/ (+ (/ 1 y) -1) y)>
#<alt (+ (/ 1 y) -1)>

Outputs
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ 1 y)>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ 1 (pow y 3))>
#<alt (/ (+ 1 (* -1 y)) (pow y 3))>
#<alt (/ (+ 1 (* y (- y 1))) (pow y 3))>
#<alt (/ (+ 1 (* y (- y 1))) (pow y 3))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 y)) (pow y 2))>
#<alt (/ (+ 1 (* y (- y 1))) (pow y 2))>
#<alt (/ (+ 1 (* y (- y 1))) (pow y 2))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 y)) (pow y 2))>
#<alt (/ (+ 1 (* -1 y)) (pow y 2))>
#<alt (/ (+ 1 (* -1 y)) (pow y 2))>
#<alt (/ -1 y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 y)) y)>
#<alt (/ (+ 1 (* -1 y)) y)>
#<alt (/ (+ 1 (* -1 y)) y)>
#<alt -1>
#<alt (- (/ 1 y) 1)>
#<alt (- (/ 1 y) 1)>
#<alt (- (/ 1 y) 1)>
#<alt -1>
#<alt (- (/ 1 y) 1)>
#<alt (- (/ 1 y) 1)>
#<alt (- (/ 1 y) 1)>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 1 (/ x (+ 1 (/ 1 y))))
1.0ms	x	@	0	(* 1 (/ x (+ 1 (/ 1 y))))
0.0ms	x	@	-inf	(* 1 (/ x (+ 1 (/ 1 y))))
0.0ms	y	@	-inf	(* 1 (/ x (+ 1 (/ 1 y))))
0.0ms	x	@	inf	(- x (/ (+ x -1) y))

rewrite407.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4258×	`/-lowering-/.f32`
4258×	`/-lowering-/.f64`
3930×	`-lowering-.f32`
3930×	`-lowering-.f64`
2298×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	121	64
2	1147	64
0	8349	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 502

Calls

Call 1

Inputs
(* 1 (/ x (+ 1 (/ 1 y))))
(/ x (+ 1 (/ 1 y)))
(+ 1 (/ 1 y))
(/ 1 y)
(- 1 y)
(- x (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)
(/ (+ 1 (/ (+ (/ 1 y) -1) y)) y)
(+ 1 (/ (+ (/ 1 y) -1) y))
(/ (+ (/ 1 y) -1) y)
(+ (/ 1 y) -1)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (-.f64 (.f64 (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) y))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))

simplify217.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1964×	`fmsub-define`
1902×	`-lowering-.f32`
1902×	`-lowering-.f64`
1858×	`fnmsub-define`
1802×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1095
1	320	991
2	796	966
3	2750	960
0	8215	960

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(/ 1 y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ 1 y)
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(/ (- 1 x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- x 1) y)))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ 1 (pow y 3))
(/ (+ 1 (* -1 y)) (pow y 3))
(/ (+ 1 (* y (- y 1))) (pow y 3))
(/ (+ 1 (* y (- y 1))) (pow y 3))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 y)) (pow y 2))
(/ (+ 1 (* y (- y 1))) (pow y 2))
(/ (+ 1 (* y (- y 1))) (pow y 2))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 y)) (pow y 2))
(/ (+ 1 (* -1 y)) (pow y 2))
(/ (+ 1 (* -1 y)) (pow y 2))
(/ -1 y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) 1) y)
(/ -1 y)
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (- 1 (/ 1 y)) y))
(/ 1 y)
(/ (+ 1 (* -1 y)) y)
(/ (+ 1 (* -1 y)) y)
(/ (+ 1 (* -1 y)) y)
-1
(- (/ 1 y) 1)
(- (/ 1 y) 1)
(- (/ 1 y) 1)
-1
(- (/ 1 y) 1)
(- (/ 1 y) 1)
(- (/ 1 y) 1)

Outputs
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(* y (+ x (* y (- (* x y) x))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 y (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(* y (+ x (* y (- (* x y) x))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 y (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) y)
x
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
x
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))
(/ (+ 1 (* -1 y)) (pow y 3))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))
(/ (+ 1 (* y (- y 1))) (pow y 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (.f64 y (*.f64 y y)))
(/ (+ 1 (* y (- y 1))) (pow y 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (.f64 y (*.f64 y y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 y)) (pow y 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (+ 1 (* y (- y 1))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (.f64 y y))
(/ (+ 1 (* y (- y 1))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (.f64 y y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 y)) (pow y 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (+ 1 (* -1 y)) (pow y 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (+ 1 (* -1 y)) (pow y 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ 1 y) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (/ 1 y) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (/ 1 y) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (- 1 (/ 1 y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- 1 (/ 1 y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- 1 (/ 1 y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 y)) y)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (+ 1 (* -1 y)) y)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (+ 1 (* -1 y)) y)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (/ 1 y) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))

eval93.0ms (1.2%)

Compiler: Compiled 13252 to 1833 computations (86.2% saved)

prune91.0ms (1.2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	716	4	720
Fresh	0	4	4
Picked	2	3	5
Done	1	3	4
Total	719	14	733

Accuracy

100.0%

Counts

733 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
▶	10.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
▶	9.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
▶	48.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
	10.6%	(/.f64 #s(literal 1 binary64) y)
	37.9%	(-.f64 x (/.f64 x y))
▶	46.7%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓	45.1%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	55.4%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	44.3%	(-.f64 #s(literal 1 binary64) y)
▶	13.1%	(*.f64 y x)
✓	38.5%	x
✓	44.6%	#s(literal 1 binary64)

Compiler

Compiled 182 to 124 computations (31.9% saved)

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
✓	cost-diff	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
✓	cost-diff	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	cost-diff	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))

Rules

1770×	`fnmadd-define`
1694×	`sum3-define`
1652×	`sum4-define`
1492×	`fmsub-define`
1442×	`fnmsub-define`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	16	115
1	26	114
2	33	114
3	48	114
4	68	114
5	116	114
6	216	114
7	354	114
8	635	106
9	1258	106
10	1865	106
11	2484	106
12	4406	102
0	8079	102

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (+ 1 (/ 1 y)))
x
(+ 1 (/ 1 y))
1
(/ 1 y)
y
(* y x)
y
x
(- x (/ -1 y))
x
(/ -1 y)
-1
y
(/ (+ 1 (/ -1 y)) y)
(+ 1 (/ -1 y))
1
(/ -1 y)
-1
y
(/ (+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)) y)
(+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y))
1
(/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)
(+ -1 (/ (+ 1 (/ -1 y)) y))
-1
(/ (+ 1 (/ -1 y)) y)
(+ 1 (/ -1 y))
(/ -1 y)
y

Outputs
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
x
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* y x)
(*.f64 x y)
y
x
(- x (/ -1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(/ (+ 1 (/ -1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(+ 1 (/ -1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(/ (+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)) y)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))) y)
(+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
1
#s(literal 1 binary64)
(/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(+ -1 (/ (+ 1 (/ -1 y)) y))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
-1
#s(literal -1 binary64)
(/ (+ 1 (/ -1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(+ 1 (/ -1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
y

localize104.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))

Results

73.0ms

256×

valid

Compiler

Compiled 121 to 17 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 12.0ms (55.1% of total)

ival-add: 5.0ms (23% of total)

ival-mult: 2.0ms (9.2% of total)

ival-sub: 1.0ms (4.6% of total)

const: 1.0ms (4.6% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

12 → 180

Calls

Call 1

Inputs
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (+ 1 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (* y x)>
#<alt (- x (/ -1 y))>
#<alt (/ -1 y)>
#<alt (/ (+ 1 (/ -1 y)) y)>
#<alt (+ 1 (/ -1 y))>
#<alt (/ (+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)) y)>
#<alt (+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y))>
#<alt (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)>
#<alt (+ -1 (/ (+ 1 (/ -1 y)) y))>

Outputs
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (/ x (+ 1 (/ 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 (pow y 2))>
#<alt (/ (- y 1) (pow y 2))>
#<alt (/ (- y 1) (pow y 2))>
#<alt (/ (- y 1) (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (/ -1 y)>
#<alt (/ (- y 1) y)>
#<alt (/ (- y 1) y)>
#<alt (/ (- y 1) y)>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (/ -1 (pow y 4))>
#<alt (/ (- y 1) (pow y 4))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 4))>
#<alt (/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 4))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>
#<alt (/ -1 (pow y 3))>
#<alt (/ (- y 1) (pow y 3))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))>
#<alt (/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 3))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt (/ -1 (pow y 3))>
#<alt (/ (- y 1) (pow y 3))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))>
#<alt (/ -1 y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))>
#<alt (/ -1 (pow y 2))>
#<alt (/ (- y 1) (pow y 2))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))>
#<alt (/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))>
#<alt -1>
#<alt (- (/ 1 y) 1)>
#<alt (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))>
#<alt (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))>
#<alt -1>
#<alt (- (/ 1 y) 1)>
#<alt (- (* -1 (/ (- (/ 1 y) 1) y)) 1)>
#<alt (- (* -1 (/ (- (/ 1 y) 1) y)) 1)>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* y x)
0.0ms	y	@	0	(/ -1 y)
0.0ms	x	@	inf	(* y x)
0.0ms	y	@	-inf	(/ (+ 1 (/ -1 y)) y)
0.0ms	y	@	-inf	(* y x)

rewrite296.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3312×	`/-lowering-/.f32`
3312×	`/-lowering-/.f64`
2854×	`-lowering-.f32`
2854×	`-lowering-.f64`
1450×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	115	76
2	1101	74
0	9414	74

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 571

Calls

Call 1

Inputs
(/ x (+ 1 (/ 1 y)))
(+ 1 (/ 1 y))
(/ 1 y)
(* y x)
(- x (/ -1 y))
(/ -1 y)
(/ (+ 1 (/ -1 y)) y)
(+ 1 (/ -1 y))
(/ (+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)) y)
(+ 1 (/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y))
(/ (+ -1 (/ (+ 1 (/ -1 y)) y)) y)
(+ -1 (/ (+ 1 (/ -1 y)) y))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
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(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))) (+.f64 (.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))) (.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))))

simplify190.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2322×	`-lowering-.f32`
2322×	`-lowering-.f64`
2044×	`+-lowering-+.f64`
2044×	`+-lowering-+.f32`
1764×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	956
1	326	878
2	836	864
3	2902	842
0	8214	842

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(/ x (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(/ 1 y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 (pow y 2))
(/ (- y 1) (pow y 2))
(/ (- y 1) (pow y 2))
(/ (- y 1) (pow y 2))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- 1 (/ 1 y)) y)
(/ (- 1 (/ 1 y)) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (/ 1 y) 1) y))
(/ -1 y)
(/ (- y 1) y)
(/ (- y 1) y)
(/ (- y 1) y)
1
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(- 1 (/ 1 y))
1
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(- 1 (/ 1 y))
(/ -1 (pow y 4))
(/ (- y 1) (pow y 4))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 4))
(/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 4))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/ -1 (pow y 3))
(/ (- y 1) (pow y 3))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 3))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(/ -1 (pow y 3))
(/ (- y 1) (pow y 3))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/ -1 y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/ -1 y)
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(/ -1 (pow y 2))
(/ (- y 1) (pow y 2))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 1 (pow y 2))))
(- (/ 1 y) (+ 1 (/ 1 (pow y 2))))
-1
(- (/ 1 y) 1)
(- (* -1 (/ (- (/ 1 y) 1) y)) 1)
(- (* -1 (/ (- (/ 1 y) 1) y)) 1)

Outputs
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 (/ 1 y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* y (- (* x y) x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 y (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(.f64 x (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))
(.f64 x (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) y)
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(/ (- y 1) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- y 1) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- y 1) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/ -1 (pow y 4))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (*.f64 y y)))
(/ (- y 1) (pow y 4))
(/.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 4))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 y y) (.f64 y y)))
(/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 4))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 y #s(literal -1 binary64))) (.f64 (.f64 y y) (*.f64 y y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))) y)
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))
(/ (- y 1) (pow y 3))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) y)
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (* y (+ 1 (* y (- y 1)))) 1) (pow y 3))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) y)) (.f64 y y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(/ -1 (pow y 3))
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))
(/ (- y 1) (pow y 3))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) y)
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 3))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ 1 y) 1) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (- 1 (/ 1 y)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ -1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(/ (- y 1) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(/ (- (* y (+ 1 (* -1 y))) 1) (pow y 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(- (/ 1 y) (+ 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (/ 1 y) (+ 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(- (* -1 (/ (- (/ 1 y) 1) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (* -1 (/ (- (/ 1 y) 1) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))

eval136.0ms (1.8%)

Compiler: Compiled 22647 to 2445 computations (89.2% saved)

prune118.0ms (1.6%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	1035	1	1036
Fresh	0	3	3
Picked	0	5	5
Done	0	6	6
Total	1035	15	1050

Accuracy

100.0%

Counts

1050 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
✓	10.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
✓	9.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	13.1%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	48.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
	10.6%	(/.f64 #s(literal 1 binary64) y)
	37.9%	(-.f64 x (/.f64 x y))
✓	46.7%	(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓	45.1%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	55.4%	(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	44.3%	(-.f64 #s(literal 1 binary64) y)
✓	13.1%	(*.f64 y x)
✓	38.5%	x
✓	44.6%	#s(literal 1 binary64)

Compiler

Compiled 281 to 130 computations (53.7% saved)

regimes39.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))

Outputs

(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))

(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))

Calls

5 calls:

10.0ms	(-.f64 #s(literal 1 binary64) x)
8.0ms	y
7.0ms	x
6.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
73.6%	3	`x`
99.9%	3	`y`
99.5%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.5%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
73.6%	3	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)

Outputs

(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))

(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

(-.f64 x (/.f64 #s(literal -1 binary64) y))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)

Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(literal -1 binary64) y))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))

Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))

Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(-.f64 x (/.f64 #s(literal -1 binary64) y))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))

Outputs
x
(-.f64 #s(literal 1 binary64) y)
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 y x)

Outputs
x
#s(literal 1 binary64)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
44.6%	1	`x`
44.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.163253323164153e-6	36684.67990495839
22.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

26.0ms	311×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 678 to 442 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34% of total)

ival-div: 3.0ms (25.5% of total)

ival-mult: 3.0ms (25.5% of total)

ival-add: 2.0ms (17% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	20872894818147.625	7.133387631532475e+24
20.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

19.0ms	225×	0	valid
16.0ms	95×	1	valid

Compiler

Compiled 538 to 362 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 5.0ms (27.1% of total)

ival-mult: 5.0ms (27.1% of total)

ival-div: 4.0ms (21.7% of total)

ival-add: 2.0ms (10.8% of total)

backward-pass: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	20872894818147.625	7.133387631532475e+24
26.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

30.0ms	167×	1	valid
12.0ms	153×	0	valid

Compiler

Compiled 458 to 312 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 7.0ms (29.1% of total)

backward-pass: 6.0ms (25% of total)

ival-div: 4.0ms (16.7% of total)

ival-mult: 4.0ms (16.7% of total)

ival-add: 3.0ms (12.5% of total)

const: 1.0ms (4.2% of total)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.163253323164153e-6	36684.67990495839
18.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

24.0ms

320×

valid

Compiler

Compiled 398 to 282 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (32.4% of total)

ival-mult: 4.0ms (32.4% of total)

ival-div: 3.0ms (24.3% of total)

ival-add: 2.0ms (16.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.1381421373829005e-19	5.5985450045165715e-14
17.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

22.0ms

304×

valid

Compiler

Compiled 284 to 221 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33.9% of total)

ival-sub: 4.0ms (33.9% of total)

ival-add: 2.0ms (17% of total)

ival-mult: 2.0ms (17% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.1381421373829005e-19	5.5985450045165715e-14
18.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

25.0ms

304×

valid

Compiler

Compiled 208 to 164 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (32.6% of total)

ival-sub: 4.0ms (32.6% of total)

ival-add: 2.0ms (16.3% of total)

ival-mult: 2.0ms (16.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1381421373829005e-19	5.5985450045165715e-14
18.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

23.0ms

304×

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.1% of total)

ival-mult: 3.0ms (27.8% of total)

ival-div: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

240×	`unsub-neg_binary64`
144×	`distribute-lft-neg-in_binary64`
126×	`neg-mul-1_binary64`
80×	`neg-sub0_binary64`
74×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	182
1	87	182
2	126	182
3	160	182
4	196	182
5	248	182
6	284	182
7	362	182
8	471	182
9	544	182
10	610	182
11	652	182
12	675	182
13	688	182
14	693	182
15	694	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -270000 binary64)) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 15000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))))
(if (<=.f64 y #s(literal -260000 binary64)) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 21000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -4300000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 21000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 y #s(literal -270000 binary64)) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 15000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))))
(if (<=.f64 y #s(literal -270000 binary64)) (+.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))) (if (<=.f64 y #s(literal 15000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (-.f64 x (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))) y))))
(if (<=.f64 y #s(literal -260000 binary64)) (-.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 21000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -260000 binary64)) (+.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))) (if (<=.f64 y #s(literal 21000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -4300000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 21000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -4300000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 21000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8715097876569077/158456325028528675187087900672 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.1s (14.1%)

Rules

3600×	`+-lowering-+.f64`
3600×	`+-lowering-+.f32`
3268×	`--lowering--.f32`
3268×	`--lowering--.f64`
2418×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1095
1	320	991
2	796	966
3	2750	960
0	8215	960
0	157	1374
1	508	1246
2	1501	1113
3	5913	1087
0	8223	1087
0	127	803
1	418	707
2	1348	636
3	6177	634
0	8079	634

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 314 to 137 computations (56.4% saved)

preprocess89.0ms (1.2%)

Compiler: Compiled 488 to 154 computations (68.4% saved)

Iter	Nodes	Cost
0	51	182
1	87	182
2	126	182
3	160	182
4	196	182
5	248	182
6	284	182
7	362	182
8	471	182
9	544	182
10	610	182
11	652	182
12	675	182
13	688	182
14	693	182
15	694	182

Iter	Nodes	Cost
0	51	182
1	87	182
2	126	182
3	160	182
4	196	182
5	248	182
6	284	182
7	362	182
8	471	182
9	544	182
10	610	182
11	652	182
12	675	182
13	688	182
14	693	182
15	694	182

analyze31.0ms (0.4%)

sample1.3s (17.4%)

preprocess214.0ms (2.8%)

explain135.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify109.0ms (1.4%)

localize102.0ms (1.4%)

series6.0ms (0.1%)

rewrite254.0ms (3.4%)

simplify229.0ms (3%)

eval84.0ms (1.1%)

prune123.0ms (1.6%)

simplify158.0ms (2.1%)

localize193.0ms (2.6%)

series34.0ms (0.5%)

rewrite376.0ms (5%)

simplify236.0ms (3.1%)

eval179.0ms (2.4%)

prune89.0ms (1.2%)

simplify171.0ms (2.3%)

localize119.0ms (1.6%)

series7.0ms (0.1%)

rewrite407.0ms (5.4%)

simplify217.0ms (2.9%)

eval93.0ms (1.2%)

prune91.0ms (1.2%)

simplify142.0ms (1.9%)

localize104.0ms (1.4%)

series9.0ms (0.1%)

rewrite296.0ms (3.9%)

simplify190.0ms (2.5%)

eval136.0ms (1.8%)

prune118.0ms (1.6%)

regimes39.0ms (0.5%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch43.0ms (0.6%)

bsearch50.0ms (0.7%)

bsearch56.0ms (0.7%)

bsearch40.0ms (0.5%)

bsearch35.0ms (0.5%)

bsearch37.0ms (0.5%)

bsearch37.0ms (0.5%)

simplify35.0ms (0.5%)

soundness1.1s (14.1%)

preprocess89.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	51	182
1	87	182
2	126	182
3	160	182
4	196	182
5	248	182
6	284	182
7	362	182
8	471	182
9	544	182
10	610	182
11	652	182
12	675	182
13	688	182
14	693	182
15	694	182